481384280520 has 384 divisors, whose sum is σ = 1887696195840. Its totient is φ = 104810526720.

The previous prime is 481384280501. The next prime is 481384280569. The reversal of 481384280520 is 25082483184.

481384280520 is a `hidden beast` number, since 4 + 8 + 1 + 3 + 8 + 42 + 80 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1778397 + ... + 2031123.

It is an arithmetic number, because the mean of its divisors is an integer number (4915875510).

Almost surely, 2^481384280520 is an apocalyptic number.

481384280520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481384280520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943848097920).

481384280520 is an abundant number, since it is smaller than the sum of its proper divisors (1406311915320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

481384280520 is a wasteful number, since it uses less digits than its factorization.

481384280520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252805 (or 252798 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 481384280520 in words is "four hundred eighty-one billion, three hundred eighty-four million, two hundred eighty thousand, five hundred twenty".